Linear Generalized Polynomials with Finiteness Conditions
Resource
Communications in Algebra 32 (12): 4535-4542
Journal
Communications in Algebra
Journal Volume
32
Journal Issue
12
Pages
4535-4542
Date Issued
2004
Date
2004
Author(s)
Abstract
Abstract Let R be a semiprime algebra over a field F, and let I be either an ideal of R or a right ideal with zero left annihilator in R. Let and , where a i , b i ∈ R. Suppose that dim F B 1 < ∞ (|B 1| < ∞). Then dim F B 2 < ∞ and dim F B 1 = dim F B 2 (resp. |B 2| < ∞ and |B 1| = |B 2|).
Type
journal article
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